Geodesic
Rectangular covers of products missing diagonals
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 147-153.

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We give a characterization of a paracompact $\Sigma$-space to have a $G_\delta$-diagonal in terms of three rectangular covers of $X^2\setminus\Delta$. Moreover, we show that a local property and a global property of a space $X$ are given by the orthocompactness of $(X\times\beta X)\setminus\Delta$.
Classification : 54B10, 54D20, 54E18
Keywords: $\Sigma$-space; $G_\delta$-diagonal; $\sigma$-closure-preserving; $\sigma$-cushioned; rectangular cover; \newline orthocompact; metacompact; Fréchet space 
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     title = {Rectangular covers of products missing diagonals},
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     pages = {147--153},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a13/}
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Yajima, Yukinobu. Rectangular covers of products missing diagonals. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 147-153. http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a13/